Pacific Gas & Electric 2. With data taken from the World Health Organization (WHO) website, the number of COVID-19 cases reported in Italy can be modeled by the equation N(t) = –122x³ + 863x² where t is the number of weeks since the day before the first case of COVID-19 was reported on February 21, 2020. a) Determine the implied domain for N(t). Show your work. b) Sketch an accurate graph of N(t) on the implied domain. Indicate the scale and label both axes with correct units. c) Determine N'(t) and N"(t). d) Determine N(5) and N'(5) and write the meaning. e) Use calculus to find where the function is increasing or decreasing, and determine the maximum point of N(t). Write the meaning. f) Use calculus to find the inflection points of the model. Write the meaning. g) Use calculus to determine the area under the curve on the interval [0,6]. Write the meaning. Shade this area on your graph.

Pacific Gas & Electric 2. With data taken from the World Health Organization (WHO) website, the number of COVID-19 cases reported in Italy can be modeled by the equation N(t) = –122x³ + 863x² where t is the number of weeks since the day before the first case of COVID-19 was reported on February 21, 2020. a) Determine the implied domain for N(t). Show your work. b) Sketch an accurate graph of N(t) on the implied domain. Indicate the scale and label both axes with correct units. c) Determine N'(t) and N"(t). d) Determine N(5) and N'(5) and write the meaning. e) Use calculus to find where the function is increasing or decreasing, and determine the maximum point of N(t). Write the meaning. f) Use calculus to find the inflection points of the model. Write the meaning. g) Use calculus to determine the area under the curve on the interval [0,6]. Write the meaning. Shade this area on your graph.

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter4: Polynomial And Rational Functions

Section4.1: Polynomial Functions Of Degree Greater Than

Problem 49E

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